Given m\_EBC = (3x + 20)° and m \_ABC = (17x-40)° find m\_ EBC and m LABC.

No solution is the answer of inequality.

What is inequality

The relationship between two values in an imbalanced algebraic statement is represented by an inequality in mathematics. One of the two variables can be larger than, more than or equal to, smaller than, or equal to another value by using a sign of inequality.  Make use of the following steps to solve an inequality: Step 1: Remove fractions by multiplying all terms by the fractions' lowest common denominator. Step 2 Combine like terms on both sides of the inequality to simplify. Step 3 Obtain the unknown on one side and the integers on the other by adding or subtracting quantities.

Given Data

[tex]\frac{4}{3}[/tex]g - 3< g + [tex]\frac{2}{3}[/tex] - [tex]\frac{1}{3}[/tex]g

([tex]\frac{4}{3}[/tex]g - g) + [tex]\frac{1}{3}[/tex]g <( [tex]\frac{2}{3}[/tex] + 3)

Taking LCM,

[tex]\frac{4e+3e+1e}{3}[/tex] < [tex]\frac{2+9}{3}[/tex]

8g < 11

g < [tex]\frac{11}{8}[/tex]

No solution is the answer of inequality.

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The percent by which the value of Ken's bike depreciated over the past year is 20%.

Depreciation is the decline in the value of an asset with the passage of time. Depreciation is as a result of wear and tear of an asset. The price of an item would decline when it depreciates.

Percentage is the fraction of an amount that is expressed as a number out of hundred. Percentage is used to measure the frequency of data. The sign that represents percentage is %. To convert a number to percentage, multiply the number by 100.

Percent depreciation = (value of the mountain bike today / value of the mountain bike last year) - 1

($320 / $400) - 1 = -0.20

0.20 x 100 = 20%

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The rate of change of an edge of the cube is 0.074 m/min.

The rate at which the volume of the cube changes is calculated as follows;

dv/dt = 2 m³/min

where;

The length of edge of the cube will be denoted with a, and it is related to the volume of cube in the following equation.

v = a³

a = v^¹/₃

where;

The change in the edge with volume;

da/dv = 1/3 (1/v)^2/3

The change in edge of the cube with time is given as;

da/dt = da/dv . dv/dt

da/dt = 1/3 (1/v)^2/3    x   2 m³/min

da/dt = 1/3 (1/27)^2/3 /m²     x    2 m³/min

da/dt = 1/27 x 2 m/min

da/dt = 2/27 m/min

da/dt = 0.074 m/min

Thus, the rate at which the edge of the cube changes with time is smaller compared to the volume.

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The rate of change of the divers elevation = 19.274

Given,

The depth to which the Scuba dove = -69 [tex]\frac{9}{10}[/tex] feet

The rate at which he dove = -21.5 feet per min.

The time which he spent at the elevation = 12.5min.

The elevation the diver then ascended to -38 [tex]\frac{9}{10}[/tex] feet

Thee total time for the dove = 19 [tex]\frac{1}{8}[/tex] minutes.

Therefore, the time [tex]t_{d}[/tex] with which the scuba diver descended to -69 [tex]\frac{9}{10}[/tex] feet

is given as follows:
[tex]t_{d} = \frac{Distance}{speed}[/tex] = [tex]= \frac{-69\frac{9}{10} }{-21.5}= \frac{-681}{-21.5}[/tex] = 3.167 minutes

The time [tex]t_{e}[/tex], it took the scuba diver to elevate to -38 [tex]\frac{9}{10}[/tex] feet is given as follows:

[tex]t_{e}[/tex] = 19 [tex]\frac{1}{8}[/tex]minutes - (3.167 + 10.5) minutes = 5.458 minutes

The rate of change of the divers elevation = (Final elevation - Initial elevation)/(Time taken).

∴ The rate of change of the divers elevation

= (-38 [tex]\frac{9}{10}[/tex] - (-69 [tex]\frac{9}{10}[/tex] )) / 5.458 min

=(37.1 - (-68.1))/ 5.458 min

= 19.274 feet/minutes to the nearest hundredth.

Hence, The rate of change of the divers elevation = 19.274

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Answer: 15840[tex]covert 3 miles to feet[/tex]

Step-by-step explanation:

3 miles equals 15840 feet

Answer: 15840

Step-by-step explanation:

3 miles have 15840 feet

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One example of a parameter is the typical number of hours each night that the entire group of college-enrolled students sleeps.

Therefore, one example of a parameter is the typical number of hours each night that the entire group of college-enrolled students sleeps.

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The correct question is given below:
A researcher is interested in the sleeping habits of students at the local state college. The average number of hours spent sleeping each night for the entire set of students enrolled at the college is an example of a ____.

The products of the fractions given are:

1. (-3/4)(7/8) → -21/32

2. (2/3)(-4)(9) → -24

3. (5/16)(-2)(-4)(-4/5) → -2

4. (2 3/5)(7/9) → 91/45

To multiply two or more fractions, multiply the denominators of both fractions together, and their numerators together.

1. (-3/4)(7/8)

Multiply the denominators of the fractions together, and also multiply their numerators:

= (-3 × 7) / (4 × 8)

= (-21) / (32)

(-3/4)(7/8) → -21/32

2. (2/3)(-4)(9)

Multiply the denominators of the fractions together, and also multiply their numerators:

= (2 × -4 × 9) / (3)

= -72/3 = -24

(2/3)(-4)(9) → -24

3. (5/16)(-2)(-4)(-4/5)

= (5 × -2 × -4 × -4) / (16 × 5)

= -160/80 = -2

(5/16)(-2)(-4)(-4/5) → -2

4. (2 3/5)(7/9)

= (13/5)(7/9)

= (13 × 7)/(5 × 9) = 91/45

(2 3/5)(7/9) → 91/45

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Mai's bike ride was 1.5 times the length of Noah's bike ride

Fractions: A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

Distance travelled by Mai in miles = 6 3/4 miles

Distance of Mai in improper fraction = 27/4

Distance travelled by Noah in miles = 4 1/2

Distance of Noah in improper fraction = 9/2

Length of Noah's bike ride as compared to Mai's bike ride = (27/4)/(9/2)

= 27/4*2/9

= 3/2 or 1.5 times

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The distribution is skewed to the right if the median is to the left of the center of the box and the right whisker is substantially longer the the left whisker

In a boxplot of distribution, the following are the scenarios:

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Answer:

the first one

Step-by-step explanation:

by using multiplication, we get that 28 BLT sandwiches can be made by Omar.

We are given that:

For every full head of lettuce used,

Number of tomatoes used = 5

Now, we will use multiplication.

2 full heads of lettuce used = 5 × 2 = 10 tomatoes used

Now, we also have:

2 tomatoes used = 1 1/20 pounds of bacon  used.

= 21/20 pounds of  bacon used.

1 tomato = (21 / 20) × (1 / 2) = 21 / 40 pounds bacon

10 tomatoes = (21 / 40) × 10 = 21 / 4 pounds bacon

Also,

3 / 4 pounds of bacon = 4 sandwiches

1 pound of bacon = 16 / 3 sandwiches.

21 / 4 pounds of bacon = (16 / 3) × (21 / 4) = 28 sandwiches

Therefore, by using multiplication, we get that 28 BLT sandwiches can be made by Omar.

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Answer:

coordinates (-4,6)

Answer:

C the answer is v

Step-by-step explanation:

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The solution of the equation is m = 6.

The variable to find is variable m.

The equation is as follows:

−3(m − 4) = − 6

Hence, let's open the bracket on the left side of the equation

−3(m − 4) = − 6

- 3m + 12 = -6

subtract 12 from both sides of the equation

- 3m + 12 = -6

- 3m + 12 - 12 = -6 - 12

- 3m = - 18

divide both sides of the equation by -3

- 3m / - 3 = - 18 / -3

Therefore,

m = 6

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Answer:

Step-by-step explanation:

Find the value of m: −3(m − 4) = −6

m = −6

m = −2

m = 2

m = 6

-3(m - 4) = -6

-3m + 12 = -6

-3m = -6 - 12

- 3m = -18

m = -18 : (-3)

m = 6

-----------------------------

-3(6 - 4) = -6

-18 + 12 = -6

-6 = -6

Trip of 45miles with seven gallons of gas in a car and car gets 22 miles per gallon ,estimate fuel supply for trip is 2 gallons.

As given in the question,

Total distance covered in family trip is 45 miles

Total fuel in car is seven gallons

Average of the on trip=22 miles per gallon

Estimate fuel supply for trip =(45 miles )/(22 miles per gallon)

                                               =2.04545gallons

                                               ≈2gallons(approximately)

As the fuel used in the trip is 2.04545.. gallons which is nearest to the 2 gallons, it is okay to estimate the fuel supply.

Therefore, trip of 45 miles with 7gallons of gas in a car with average 22 miles per gallon ,estimate fuel supply for trip is 2 gallons.

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Answer:

x = 13

calculations in the pic hope it helps

Answer is 13

Step by step

1.4 + x / 6 = 2.4

We want to get rid of the 6 first

It is a divide so we want to do the inverse, which is multiply both sides by 6

1.4 + x * 6/ *6 = 2.4 * 6

Combine (the 6/6 becomes 1)

1.4 + x = 14.4

Now we want to isolate the x

Subtract 1.4 from both sides to solve for x

1.4 - 1.4 + x = 14.4 - 1.4

Combine

x = 13

Answer:

8 + 2(x + 3) = 2x + 14

Would be infinitely many solutions.

Step-by-step explanation:

8 + 2x + 6 = 2x + 14

2x + 14 = 2x + 14

0 = 0; True

All real numbers

Answer:

Add the expressions.

11x2−3x−3

Step-by-step explanation:

Simplification of polynomials.

Polynomials are mathematical expressions made up of many terms.To simplify a polynomial the most, you must collect all like terms and rearrange them from highest to lowest power.

Answer:

Step-by-step explanation:

It is assumed you are looking for the value of x.

According the diagram, we have:

Property of exterior angle - it is same as the sum of remote interior angles.

Set equation:

It is easy to calculate the unknown angle measures if needed:

Answer:

x=y/m-a

Step-by-step explanation:

y=(x+a)m

Divide m on both sides

y/m=x+a

Subtract a on both sides

y/m-a=x

bbbbbbbbbbbbbbb bbbbbbbbbbbbbb

You answer is: 28 + 3[tex]x[/tex]

Since $28 is a one-time fee and does not have to be paid again for each and every ride, it does not need a variable in front of.

But for every ride you want, you pay $3 so you need the variable "[tex]x[/tex]" which represents how many times you ride.

For example, if you ride the roller coaster once, your total amount, in dollars, will be:

T = 28 + 3 * (1)

T = $31

But if you ride the roller coaster 3 times, your cost, in dollars, will be:

T = 28 + 3 * (3)

T = 28 + 9

T = $37

Answer:

x=45

Step-by-step explanation:

20-.24=9.2

15 km of walkway still need to be paved after 4 days. There are still 12 miles of trail to be paved after another 6 days. The average rate of the change is 24.

Given that,

The paving of a bike route by a city. Every day, the same amount of the path is paved. 15 km of walkway still need to be paved after 4 days. There are still 12 miles of trail to be paved after another 6 days.

We have to find the average change rate.

1st we find the slope with the points (4,15) and (6,12).

Slope =[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slope=[tex]\frac{12-15}{6-2}[/tex]

Slope=-3/4

Now,

y=mx+b

15=-3/4(4)+b

b=15+3

b=18

We got the equation of line as y=-3/4x+18

Now take y=0

0=-3/4x+18

-3/4x=-18

x=(18×4)/3

x=72/3

x=24

Therefore, the average rate of the change is 24.

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he Solution:

iven:

The y-intercept of function 1 is:

The y-intercept of function 2 is:

(a) So, the farthest y-intercept from 0 is function 1.

he slope of function 1 is

The slope of function 2 is

he solope of function 3 is -1

The slope of function 4 is 5

(b) hus, the steepest graph is the function with the highest slope.

So, the steepest graph is the graph of function 4 since it has the greatest slope.

(c)

Functions with y-intercept greater than -3 are:

unction 1, function 2, amnd function 4.

Answer:

Step-by-step explanation:

Slope formula: m=[tex]\frac{rise}{run}[/tex] so m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]y_1[/tex]=3

[tex]y_2[/tex]=-1

[tex]x_1[/tex]=0

[tex]x_2[/tex]=5

So the formula is, [tex]\frac{(-1)-3}{5-0}[/tex] = [tex]\frac{-4}{5}[/tex]

Slope is negative.

Slope is -4/5

The probability that the test results are correct, and that this student is not overstressed is mathematically given as

3.08%

This is further explained below.

Generally,

Let A: student is overstressed

B: The test is positive. Given

[tex]P(\bar{B} / \bar{A})=0.95, P(B / A)\\P(\bar{B} / \bar{A}) =0.85, P(A)\\P(\bar{B} / \bar{A})=0.995, \\[/tex]

[tex]P\left(\frac{\text { correctresult }}{\text { Test negative }})=P(\bar{A} / \bar{B}) \\\\ =\frac{P(\bar{A} \cap \bar{B})}{P(\bar{B})} \\\\ =\frac{P(\bar{A} \cap \bar{B})}{P(\bar{A} \cap \bar{B})+P(A \cap \bar{B})}\right.[/tex]

[tex]=\frac{P(\bar{B} / \bar{A}) P(\bar{A})}{P(\bar{B} / \bar{A}) P(\bar{A})+P(\bar{B} / \bar{A}) P(A)} \\\\=\frac{0.95 \times 0.005}{0.95 \times 0.005+0.15 \times 0.995} \\[/tex]

=0.0308

=3.08%

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Answer:

7.821 or 7821/1000

Step-by-step explanation:

Answer:

7.821

Step-by-step explanation:

After solving the equation 4/9+9/18, we have to come to find the solution is 1.57.

An equation can be defined in a number of different ways. An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.

In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal." There are one or more variables in even the most fundamental and straightforward algebraic equations.

The value of the variable that makes the equation a true statement is the solution of the equation.

We have been asked to solve the equation 4/9 + 9/8

Lets solve

⇒ 4/9 + 9/8

⇒ (32+81)72               (finding the LCM of denominators and multiplying with  

⇒ (32+81)72                                                                                     numerators)

⇒ 113/72

⇒  [tex]1\frac{41}{72}[/tex]

⇒ 1.57

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Using concepts of linear functions, it is found that:

The slope-intercept representation of a linear function is:

y = mx + b.

In which:

Two linear functions have the same value when they intersect each other, hence, from the graph given at the end of the answer, they intersect around point (3,65), meaning that they will have the same profit after 3 years, and this profit will be of $65,000.

From the Graph, as it assumes higher values as n goes to infinity, company B has the higher slope, hence it's profit is growing more quickly.

The graph is missing, and is given by the image at the end of the answer.

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